What is the common ratio of the geometric sequence 6,4,8/3,16/9,...
r = 2
r = 2/3
r = -2
r = 3/2

Answers

Answer 1

The common ratio of the geometric sequence is: B. r = 2/3.

How to Find the Common Ratio of a Geometric Sequence?

The common ratio of a geometric sequence is determined by taking the last term and divide by the preceding term.

Given the geometric sequence, 6,4,8/3,16/9,..., the common ratio is calculated as follows:

16/9 ÷ 8/3 = 16/9 × 3/8 = 2/3 × 1/1 = 2/3

Or

8/3 ÷ 4 = 8/3 × 1/4 = 2/3

Or

4/6 = 2/3

Therefore, the common ratio of the geometric sequence is: B. r = 2/3.

Learn more about common ratio on:

https://brainly.com/question/1509142

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Related Questions

The eighth term of a linear sequence is 26. The term-to-term rule is 'add 3
Work out the fourth term of the sequence.
Explain the method you used to solve this problem.

Answers

Common difference=d=3

Let a be first term

[tex]\\ \rm\longmapsto a_8=a+7d[/tex]

[tex]\\ \rm\longmapsto 26=a+7(3)[/tex]

[tex]\\ \rm\longmapsto a=26-21[/tex]

[tex]\\ \rm\longmapsto a=5[/tex]

Now

[tex]\\ \rm\longmapsto a_4=a+3d[/tex]

[tex]\\ \rm\longmapsto a_4=5+3(3)[/tex]

[tex]\\ \rm\longmapsto a_4=5+9[/tex]

[tex]\\ \rm\longmapsto a_4=14[/tex]

Find each of the following products
a) 6x * (-2y)
Answer ) -12xy

Answers

Step-by-step explanation:

6x × (-2y) = -12xy thank you

Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha conclude about x = StartAbsoluteValue y EndAbsoluteValue?
It is a function of x but not a relation.
It is a relation but not a function of x.
It is both a function of x and a relation.
It is neither a function of x nor a relation.

Answers

Answer:

what can i help u with

Step-by-step explanation:

The graph of x = |y| is as shown in the figure.

When we draw a vertical line, it intersects the graph at two points.

This means for the same value of x , we have two values of y.

Or in other words, for the same pre image, we have two images.

Hence it is not a function.

But for every value of x, we do have a value of y, hence it is a relation.

x = |y| is a relation but it is not a function

Answer:

:B

Step-by-step explanation:

hope that can help

I need help with this asap pls!!

Answers

Answer:

Answer is b

Step-by-step explanation:

cuh cuh cuh cuh cuh cuh , , , , , ,,

hello could you please help me with this math problem with full explanation which I am unable to solve? Thank you.

Answers

c) 37.7cm

Hope this helps!! Give brainliest if possible.....Have a good day.

Pls Help, Thanks

According to the partial construction shown, what is the next step in constructing a line perpendicular to a point on the line?

Place compass at point D, and draw an arc that intersects the arc above line DF.

Place compass at point F, and draw an arc that intersects the arc above line DF.

Place compass at point P, and draw an arc above line DF

Place compass at point P, and draw an arc below line DF

Answers

Step-by-step explanation:

First draw a lign segment like DF

Next keep the point on D make an arc by increasing the length of compass

As same keep the point on F make an arc lile same as before

Next there is apoint name it as any meeting on drew arc

connect it to the point with P

what is the graph of the following function??
PLEASE HELP!!

Answers

Answer:

umm it's a piecewise function and I think the graph is correct I don't really understand what you mean by what is the "graph" of the following function since the graph is already there...

Step-by-step explanation:

how do i solve this any one know pls help me

Answers

i think it might be 15.7 sorry if i’m wrong

Answer: 5π         OR       15.70796327

Step-by-step explanation:

Formula for circumference is C=2πr (radius)   OR      C=πd    (diameter)

Our radius is 5 units, so our diameter is 10 units

C=10π

However, the question is only asking for length of semicircle

So you have to divide: 10π/2=5π

What is the domain of the relation graphed below?

Answers

Answer:

There are 6 points on a coordinate plane. The points are (negative 5, 0), (negative 4, 1), (negative 3, 4), (1, negative 2), (2, 4), (5, negative 3).

A domain: {–5, –4, –3, –2, 0, 1, 2, 3, 4, 5}

B domain: {–3, –2, 0, 1, 4}

C domain: {–5, –4, –3, 1, 2, 5}

D domain: {(–5, 0), (–4, 1), (–3, 4), (1, –2), (2, 4), (5, –3)}

Answer:

what can i help u with

Step-by-step explanation:

Option C is correct that is domain is {-5,-4,-3,1,2,5}Explanation:The domain is the values that x will take

what is the standardform of R(4, 0), m = 5

Answers

Answer:

No. of children Frequency

0. 5

1. 7

2. 11

3. 5

4. 6

5 3

6 3

I NEED HELP

THERE ARE TWO OTHER QUESTIONS AS WELL

Answers

Answer:

Please find attached the drawing of ABCD, A'B'C'D', and A''B''C''D'', created with MS Excel

Step-by-step explanation:

The given composition of transformation is [tex]r_{y-axis} \ \circ \ r_{x = - 4}[/tex]

The transformation on the right, [tex]r_{x = - 4}[/tex], is carried out first as follows;

The point A with coordinate (-7, 7) reflected across the line x = -4, gives;

A(-7, 7) [tex]r_{x = - 4}[/tex] → A'(-1, 7)

Similarly, we have;

B(-5, 7) [tex]r_{x = - 4}[/tex] → B'(-3, 7)

C(-5, 1) [tex]r_{x = - 4}[/tex] → C'(-3, 1)

D(-7, 1) [tex]r_{x = - 4}[/tex] → D'(-1, 1)

Therefore, the image of the given rectangle after reflection across the lie, x = -4, is A'(-1, 7), B'(-3, 7), C'(-3, 1), and D'(-1, 1)

The second transformation, [tex]r_{y-axis}[/tex], is found as follows;

(x, y) [tex]r_{y-axis}[/tex] → (x, -y)

Therefore, we have;

A'(-1, 7) [tex]r_{y-axis}[/tex] → A''(-1, -7)

B'(-3, 7) [tex]r_{y-axis}[/tex] → B''(-3, -7)

C'(-3, 1) [tex]r_{y-axis}[/tex] → C''(-3, -1)

D'(-1, 1) [tex]r_{y-axis}[/tex] → D''(-1, -1)

The points ABCD, A'B'C'D', and A''B''C''D'' are plotted on MS Excel and the points joined with straight lines to form the drawing of the triangles as shown in the attached figure.

ASAP!! I'll mark you as BRAINLIEST Please help me out here I would really appreciate <3​

Answers

Answer:

d) 16, 19, 14 + x

e) x + 20, 30, 33, 15, y - 20, x+x+20=60 and James would be 20.

f) 13

g) 120

Step-by-step explanation:

D.

(1) 14 + 2 = 16

(2) 14 + 5 = 19

(3) 14 + x

E.

(1) x + 20

(2) 10 + 20 = 30

(3) 13 + 20 = 33

(4) 35 - 20 = 15

(5) y - 20

(6) x + (x + 20) = 60 | 2x + 20 = 60 | 2x = 40 | x = 20

F.

200 - 148 = 52

52 / 4 = 13 each

G.

500 + 100 = 600

600 / 5 = 120 without the discount

Hope this helps!

Translate the following into an algebraic expression:
The number that is 75% of one less than a number n.

Answers

Answer:

X = 0.75 ( 1- n )

Step-by-step explanation:

let  X = the number one less than n gives (1-n)

75% of (1-n) = 0.75*(1-n) = 0.75(1-n)

In conclusion: X = 0.75 ( 1- n )

Can anyone help me with this?

Answers

Answer:

baba booey

Step-by-step explanation:

444

help me guys! 50 points!​

Answers

Answer:

The volume of the irregular figure would be 144 [tex]cm^3[/tex].

Step-by-step explanation:

If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 [tex]cm^3[/tex], and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 [tex]cm^3[/tex]. So the volume of the entire irregular figure would be 108 + 36 = 144 [tex]cm^3[/tex].

Answer:

144 cm^3

Step-by-step explanation:

Large rectangle:

12 × 3 × 3 = 36 × 3 = 108

Small rectangle:

7 - 3 = 4

4 × 3 × 3 = 12 × 3 = 36

Both:

36 + 108 = 144

Hope this helped.

An older person is 7 years older than five times the age of a younger person. The sum of their ages is 37. Find their ages.

Answers

Answer:

older person: 32 yrs younger person: 5 yrs

Step-by-step explanation:

older person age: o

younger person age: y

o=5y+7

o+y=37

Solve with substitution:

5y+7+y=37

6y+7=37

6y=30

y=5

Plug back in:

o+5=37

o=32

Some food is able to keep 150 students fed at camp for 5 days,
How many days will the food last for if there are 100 students,

I know its 7.5 but why do people x the 150 and 5 i dont get it

Answers

Answer:

x=7.5

Step-by-step explanation:

s is for students

d is for days

150 s take 5 days to finish food

if there are 100 s how many days will the same amount of food take

so 150 students × 5 days = 750 equation 1

100 students × x days= 100x equation 2

750 from 1 = 100 x from 2

750÷100=x

x=7.5 days

Can someone help me with this question?

Answers

Answer:

y = ± 15

Step-by-step explanation:

Given

y² = 225 ( take the square root of both sides )

[tex]\sqrt{y^2}[/tex] = ± [tex]\sqrt{225}[/tex]

y = ± 15

That is y = 15, y = - 15

Since 15 × 15 = 225 and - 15 × - 15 = 225

y² = 225

y = √225

y = 15

y²= 225

y = √225

y = -15

y = ±15

Therefore values of y are 15 and -15

Must click thanks and mark brainliest

A right triangle has a 12in base and an 8in height. What is the area of the triangle, in in??​

Answers

Answer:

48

Step-by-step explanation:

using the formula 1/2 b*h

8*12=96

96/2=48

2. Find the measure of angle L.

Answers

Answer:

∠ L ≈ 21.6°

Step-by-step explanation:

Using the Sine rule in the triangle

[tex]\frac{MN}{sinL}[/tex] = [tex]\frac{LM}{sinN}[/tex] , that is

[tex]\frac{34}{sinL}[/tex] = [tex]\frac{42}{sin27}[/tex] ( cross- multiply )

42 × sinL = 34 × sin27° ( divide both sides by 42 )

sinL = [tex]\frac{34sin27}{42}[/tex] , then

∠ L = [tex]sin^{-1}[/tex] ( [tex]\frac{34sin27}{42}[/tex] ) ≈ 21.6° ( to the nearest tenth )

please answer this for me really struggling thanks

Answers

Answer:

Just agree on having ice cream

Step-by-step explanation:

please please please help me out somebody!!!!!!!
Find the midpoint of the line segment joining (–4, –2) and (2, 8).

SHOW HOW YOU GOT IT please

Answers

Answer:

(-1,3)

Step-by-step explanation:

Using midpoint formula, we have

x=(-4+2)/2=-1

y=(-2+8)/2=3

solve the equation - 2(3x+5/x+2) -5(x+2/3x-5) = 3 , where x unequal -2 and x unequal 5/3

it's urgent
please quys
with solution

Answers

Answer:

Step-by-step explanation:

(a - b)(a + b) =a² -

(3x + 5)(3x -5) =(3x)² - 5² = 9x² - 25

(x +2)(x+2) = (x+ 2)² = x²+ 2*2*x+2² = x² + 4x + 4

(x+2)(3x -5 ) = x*3x - 5*x +2*3x +2*(-5)

                    = 3x² -5x +6x -10

                    = 3x² + x - 10

[tex]\frac{2*(3x+5)}{x+2}-\frac{5(x+2)}{3x-5}=3\\\\\frac{2*(3x+5)*(3x-5)}{(x+2)(3x-5)}-\frac{5*(x+2)(x+2)}{(3x-5)(x+2)}=3\\\\\frac{2*(9x^{2}-25)-5(x^{2}+4x+4)}{(3x-5)(x+2)}=3[/tex]

[tex]\frac{18x^{2}-25-5x^{2}-20x-20}{3x^{2}+x-10}=3\\\\\frac{18x^{2}-5x^{2}-20x - 25-20}{3x^{2}+x-10}=3\\\\[/tex]

13x² - 20x - 45 = 3*(3x² + x - 10)

13x² - 20x - 45 =9x² + 3x - 30

13x² - 9x² -20x - 3x - 45 + 30 = 0

4x² - 23x - 15 = 0

3/2x + 7/2 = 2x what is the solution to the equation

Answers

Answer:

x=7

Step-by-step explanation:

3/2x + 7/2 = 2x

Subtract 3/2x from each side

3/2x -3/2x + 7/2 = 2x-3/2x

7/2 = 2x -3/2x

Get a common denominator

7/2 = 4/2x - 3/2x

7/2 = 1/2 x

Multiply each side by 2

7/2 *2 = 1/2x*2

7 =x

Answer:

x=7

Step-by-step explanation:

im smart

What is the solution to the equation? 3x - 5 =7x -9

Answers

Answer:

x=1

Step-by-step explanation:

3x - 5 =7x -9

Subtract 3x from each side

3x - 5-3x =7x-3x -9

-5 = 4x-9

Add 9 to each side

-5+9 = 4x-9+9

4 = 4x

Divide each side by 4

4/4 = 4x/4

1=x

Answer:

numbers

=

1

Step-by-step explanation:

1

Add

5

5

5

to both sides of the equation

3

5

=

7

9

3x-5=7x-9

3x−5=7x−9

3

5

+

5

=

7

9

+

5

3x-5+{\color{#c92786}{5}}=7x-9+{\color{#c92786}{5}}

3x−5+5=7x−9+5

2

Simplify

Add the numbers

Add the numbers

3

=

7

4

3x=7x-4

3x=7x−4

3

Subtract

7

7x

7x

from both sides of the equation

3

=

7

4

3x=7x-4

3x=7x−4

3

7

=

7

4

7

3x{\color{#c92786}{-7x}}=7x-4{\color{#c92786}{-7x}}

3x−7x=7x−4−7x

4

Simplify

Combine like terms

Combine like terms

4

=

4

-4x=-4

−4x=−4

5

Divide both sides of the equation by the same term

4

=

4

-4x=-4

−4x=−4

4

4

=

4

4

\frac{-4x}{{\color{#c92786}{-4}}}=\frac{-4}{{\color{#c92786}{-4}}}

−4−4x=−4−4

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

what’s the answer ? i don’t understand this one. please show me the answer

Answers

Can you show me the answer options you have?

Answer:

hello,

Step-by-step explanation:

n+2*(2n-5)=20

5n-10=20

5n=30

n=6

Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
х
34
16
30

Answers

Answer:

cos Z = 8/17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = opp / hyp

cos Z = 16/34

cos Z = 8/17

Which rule is a recursive rule for the sequence
1, – 6, 36, – 216,
...?
Ο o An
-
6. An-1
ο o an
.
6
An-1
o an
6. An-1
1
ο o an
-
.
6
an-1
1
2
3

Answers

1 is the right answer

(-2 1/2) to the second power

Answers

Answer:

6.25

Step-by-step explanation:

[tex](-2\frac{1}{2})^2\\\\(-\frac{5}{2} )^2\\\\(\frac{5}{2})^2\\\\\frac{5^2}{2^2}\\\\\frac{25}{4}\\\\\boxed{6\frac{1}{4}}\text{ or } 6.25[/tex]

Hope this helps.

See screenshot below​

Answers

Answer:

cos theta = -1/ 2

Step-by-step explanation:

sin theta = -sqrt(3)/2

Drawing a triangle

We know sin theta = opp/hyp

We can determine the adj side using the Pythagorean theorem

a^2 + b^2 = c^2

adj^2 + (-sqrt(3))^2 = 2^2

adj^2 +3 = 4

adj^2 = 4-3

adj ^2 =1

Taking the square root of each side

adj = 1

We know that since it is in the third quadrant the adj side is negative

adj = -1

cos theta = adj / hyp

cos theta = -1/ 2

Answer:

Solution given:

Sin[tex]\theta_{1}=\frac{-\sqrt{3}}{2}[/tex]

[tex]\frac{opposite}{hypotenuse}=\frac{-\sqrt{3}}{2}[/tex]

equating corresponding value

opposite=-[tex]\sqrt{3}[/tex]

hypoyenuse=2

adjacent=x

By using Pythagoras law

hypotenuse²=opposite²+adjacent²

2²=-[tex]\sqrt{3²}[/tex]+x²

4=3+x²

x²=4-3

x=[tex]\sqrt{1}=1[/tex]

x=-1

In third quadrant

Cos angle is negative

Cos[tex]\theta_{1}=\frac{-adjacent}{hypotenuse}[/tex]

Cos[tex]\theta_{1}=\frac{-1}{2}[/tex]
Other Questions
Choose all the factors of 5. (Check all that apply.)13524 65. A city has a population of 25,000. The population is expected to increase by 5.5% annually for thenext decade. (See Example 5)a. Write a function that represents theCity Populationpopulation y after t years.40,00035,00030,00025,000b. Graph the function from part (a). Use the 20,000graph to estimate the population after 415,000years.10,000500000 1 2 3 4 5 6 7 8 tYearPopulation QUICKLY!! We know that a triangle with side lengths x^2-1,2x and x^2+1 is a right triangle. Using those side lengths, find the missing triples and x-values.Write the triples in parentheses, without spaces between the numbers, and with a comma between numbers. Write the triples in order from least to greatest.Type the correct answer in each box.x value--------------------pythagorean triple3 ____________________ (8,15,17)5 ________________________ (12,35,37) Managerial implications for the SDT theory include: Group of answer choices to motivate high performance for uninteresting jobs make performance contingent on extrinsic rewards. All of these. to motivate high performance for uninteresting jobs make performance contingent on intrinsic rewards. focus on the hygiene factors in order to reduce dissatisfaction and increase intrinsic motivation to enhance intrinsic motivation for interesting jobs be sure individuals receive large pay bonuses for high achievement At 88 meters (289 feet), Landscape Arch is the longest natural arch in Arches National Park in Utah. Many geologists believe it is the longest natural arch in the world. Which statement explains why the Twenty-Fifth Amendment was created? A: After John F. Kennedy was assassinated in 1963, it was clear that a succession plan was needed. B: Before the Twenty-Fifth Amendment, the nation would be left without a leader should something happen to the president. C: Congress didnt want the Speaker of the House to be next in line for the presidency. D: There were already procedures for succession in place, but the procedures simply werent codified. The core of transformer is laminated.......a.to reduce the loss of energy in the form of heat across the transformerb.to reduce the voltage of ACc.to decrease the voltage of ACd. to change the maginetic flux On the leeside of mountains, bands of heavy snow in some areas with trace amounts of snow in between is likely the result of: what the mining of althoe[tex]y \geqslant 3[/tex] Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?acute, because 62 + 102 < 122acute, because 6 + 10 > 12obtuse, because 62 + 102 < 122obtuse, because 6 + 10 > 12 Self-esteem and loss of control are keyfactors of our mental well being.A-TrueB-False Usually, in organizations, the policy and mechanism are established by the:CEOTeam of ExectivesBoard of DirectorsStakeholdersnone of these Describe the rights the roman republic gave its citizens. How similar are these rights to those given to citizens of the Islamic Republic of Pakistan? How did slavery function as a mechanism of racialized social control? I need to find evidence and analysis The dimensions of a closed rectangular box are measured as 60 centimeters, 50 centimeters, and 70 centimeters, with an error in each measurement of at most 0.2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box. Find the value of x.A. About 57.6B. About 42.6C. About 12.6D. About 27.6 In the context of applications of artificial intelligence (AI), _____ perform well at simple, repetitive tasks and can be used to free workers from tedious or hazardous jobs. In which of the following cases is the Supreme Court most likely to rule that a person is simplyexercising freedom of speech and cannot be censored?-None of these choices are correct.-A former employee angry at being fired, publishes a blog falsely accusing hisformer boss of mistreating employees in an effort to get her fired-A college student writes an opinion piece for his school newspaper detailingareas in which he feels the national government needs improvement.-A member of the U.S. military opposes a war, so she leaks classified information on troop movements to the press.-A politician lies to voters in order to get elected According to _____ prayers said in company of others were _____ times more effective than what is said in private. * Which best describes the Democratic Party in the 1800's